AB = 36 cm
BC = 28 cm
Since they are similar figures:
36/28 = 9/EF
36EF = 28*9
EF = 252/36 = 7 cm
Finding the area:
Area = 1/2 * DE * EF
Area = 1/2 * 9 * 7
Area = 31.5 cm^2
Part a:
this is really just intuition. you can go either way as long as you back up what you say.
either you think hunter would be faster because he starts out with a lot more money, or you think amado would be faster because he earns a lot more.
part b:
let x be the number of hours hunter works, and y the number that amado works.
they both need to earn 600 dollars.
hunter's money is modelled by 150 + 7.5x
to get 600 dollars
150 + 7.5x = 600
7.5x = 450
x = 60
amado's money is modelled by 12y
to get 600 dollars
12y = 600
y = 50
hunter would need to work 60 hours to make enough money, but amado would only need to work 50, so hunter will take longer.
then say whether this agrees with what you guessed in part a
You can soustracte the first or the second one
and y cancel
x = 6
now you put 6 in x
you can take the first or the second one
6 - y = -2
6 - y = -2
y = -8
8/(2-√ 12) Both sides multiplied by (2+√ 12)
16+8√ 12/4-12
-(16+8√ 12)/8
The new denominator is 8 and the fraction has a negative sign
The sum of n terms of a geometric sequence with first term "a" and common ratio "r" is given by
You have a=21, r=3, so the sum of 10 terms is
The appropriate choice is the 2nd one:
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